A traveling wave along the x-axis is given by the following wave funct

fanyattehedzg 2021-12-16 Answered
A traveling wave along the x-axis is given by the following wave function
ψ(x,t)=4.8cos(1.2x8.2t+0.54), where x in meter, t in seconds, and ψ in meters. Read off the appropriate quantities for this wave function and find the following characteristics of this plane wave.
What is the frequency in Hertz, the wavelength in meters, the wave speed in meters per second, and the phase constant in radians
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Expert Answer

veiga34
Answered 2021-12-17 Author has 32 answers
Step 1
Given :
wave function, ϕ(x,t)=4.8cos(1.2x8.2t+0.54) .....(1)
We have , general form of wave function,
ϕ(x,t)=Acos(kxωt+ϕ) ............(2)
comparing (1) and (2) , we get,
A=4.8
k=1.2
ω=8.2
ϕ=0.54
Step 2
- Frequency, v=ω2π
v=8.22π
v=0.023Hz
Therefore, frequency is 0.023 Hz.
Wave length, λ=2πk
λ=2π1.2
λ=300m
Therefore, wavelength is 300 m.
Step 3
Wave speed, V=νλ
V=0.023300
V=6.9ms
Therefore, wave speed is 6.9 m/s.
Phase constant, ϕ=0.54 radians

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eskalopit
Answered 2021-12-18 Author has 31 answers
I tried to find the answer everywhere. I will be grateful if you help me. Tha
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